Details

analyze15.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	37.5%	62.5%	0%	0%	0%	0
0%	0%	37.5%	62.5%	0%	0%	0%	1
0%	0%	18.7%	81.3%	0%	0%	0%	2
0%	0%	9.4%	90.6%	0%	0%	0%	3
0%	0%	9.4%	90.6%	0%	0%	0%	4
0%	0%	7%	93%	0%	0%	0%	5
20%	1.2%	4.7%	94.1%	0%	0%	0%	6
25%	1.2%	3.5%	95.3%	0%	0%	0%	7
40%	1.8%	2.6%	95.6%	0%	0%	0%	8
51.9%	2%	1.9%	96%	0%	0%	0%	9
64.7%	2.4%	1.3%	96.3%	0%	0%	0%	10
72.9%	2.6%	1%	96.5%	0%	0%	0%	11
80.2%	2.7%	0.7%	96.6%	0%	0%	0%	12

Compiler

Compiled 26 to 15 computations (42.3% saved)

sample988.0ms (55.1%)

Results

888.0ms	8256×	body	256	valid
87.0ms	782×	body	256	precondition

Bogosity

preprocess5.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

4×	`rational_best-simplify-59`
4×	`rational_best-simplify-2`
4×	`rational_best-simplify-74`
4×	`rational_best-simplify-72`
2×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	78
1	25	78
2	28	78
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))

Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify12.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-74`
2×	`rational_best-simplify-59`
2×	`rational_best-simplify-2`
2×	`rational_best-simplify-1`
2×	`rational_best-simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	17	39
2	19	39

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

eval0.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

11.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
✓	10.7b	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Compiler

Compiled 53 to 8 computations (84.9% saved)

series5.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
1.0ms	a	@	0	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
0.0ms	b	@	0	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
0.0ms	a	@	inf	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
0.0ms	a	@	inf	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

rewrite134.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`rational_best-simplify-44`
730×	`rational_best-5`
728×	`rational_best-4`
728×	`rational_best-2`
728×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	70
1	85	70
2	325	70
3	1420	70
4	7046	70

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 1 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 1 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (/.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 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(*.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))) (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))) (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))))))

simplify124.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational_best-simplify-80`
1450×	`rational_best-simplify-78`
1416×	`rational_best-simplify-94`
1268×	`rational_best-simplify-135`
848×	`rational_best-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	94	3011
1	190	2969
2	726	2969
3	3863	2969

Stop Event

1×	node limit

Counts

89 → 50

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
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(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
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(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
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(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
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(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
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(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
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(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
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(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 1 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))
(.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))
(.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (/.f64 1 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))
(.f64 (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(.f64 (/.f64 1 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))
(neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(+.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) 0)
(+.f64 0 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))
(-.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
(.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) 1)
(.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))
(.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))))
(.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 1 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))
(.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))
(.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))
(.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
(.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
(.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))
(/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) 1)
(/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
(/.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) 2) 2)
(neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))

Outputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
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(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
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(+.f64 (neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(+.f64 (neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
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(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
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(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(+.f64 (neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
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(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
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(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(+.f64 (neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
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(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(+.f64 (neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
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(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
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(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
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(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
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(+.f64 (neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
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(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
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(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(+.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) 0)
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
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(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(-.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) 0)
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(-.f64 0 (neg.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) 1)
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 1 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (/.f64 1 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (/.f64 1 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(+.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) 0)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(+.f64 0 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(-.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) 0)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(-.f64 0 (neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) 1)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 1 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (/.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) 1)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(/.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) 2) 2)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

eval8.0ms (0.4%)

Compiler: Compiled 1672 to 230 computations (86.2% saved)

prune8.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Error

0.6b

Counts

51 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	11.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
▶	11.0b	(sqrt.f64 (fabs.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
▶	1.0b	(sqrt.f64 (fabs.f64 1))

Status

Error

Program

✓

11.0b

(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))

▶

11.0b

(sqrt.f64 (fabs.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))

▶

1.0b

(sqrt.f64 (fabs.f64 1))

Compiler

Compiled 61 to 25 computations (59% saved)

localize4.0ms (0.2%)

Compiler: Compiled 8 to 8 computations (0% saved)

localize24.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))
✓	0.0b	(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
✓	0.0b	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
	10.7b	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Compiler

Compiled 179 to 22 computations (87.7% saved)

series4.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
0.0ms	b	@	0	(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
0.0ms	b	@	inf	(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
0.0ms	a	@	inf	(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
0.0ms	a	@	0	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

rewrite95.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`rational_best-simplify-47`
984×	`rational_best-5`
982×	`rational_best-4`
982×	`rational_best-2`
982×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	137
1	119	137
2	424	137
3	1873	137

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(sqrt.f64 (fabs.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))))

Inputs

(*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))

(*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))

(sqrt.f64 (fabs.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)) 2) 2)))))
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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (/.f64 1 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))) (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))) (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))) (*.f64 (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))) (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))) (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))) (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) 2) 2)))))

simplify194.0ms (10.8%)

Algorithm

1×	egg-herbie

Rules

1538×	`rational_best-simplify-132`
1216×	`rational_best-simplify-2`
824×	`rational_best-simplify-129`
702×	`rational_best-simplify-80`
666×	`rational_best-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	325	13647
1	672	13593
2	1567	13591
3	3981	13555

Stop Event

1×	node limit

Counts

185 → 206

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 0)
(+.f64 0 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))
(-.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 0)
(/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))
(/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 1)
(/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))
(/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)) 2) 2)
(+.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))) 0)
(+.f64 0 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))
(-.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))) 0)
(/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))) 1)
(/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 2)) 2)
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))
(fabs.f64 (neg.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))
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(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 2) (/.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 2) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (.f64 a a)))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 2) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (/.f64 (.f64 a a) (fabs.f64 (/.f64 a a))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 2) (/.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (neg.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 2) (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (fabs.f64 (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 2) (.f64 (neg.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (fabs.f64 (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 2) (.f64 (fabs.f64 (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 2) (.f64 (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (neg.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))) 2))
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(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 2) (.f64 (.f64 (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 1 (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 2) (.f64 (.f64 (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (.f64 (neg.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (/.f64 1 (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) 2) (.f64 (.f64 (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))))) 2))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (neg.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (neg.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (neg.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (fabs.f64 (/.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (/.f64 (.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) 2) (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)) 2))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))) (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))) (fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))
(+.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) 0)
(+.f64 0 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))
(-.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) 0)
(.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))
(.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) 1)
(.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))
(.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))))
(.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (/.f64 1 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))
(.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))
(.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))))
(.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))))
(.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))) (.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (/.f64 1 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))) (.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))))
(/.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) 1)
(/.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a)))) (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 a a))))))
(/.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) 2) 2)

Outputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
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(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(+.f64 (neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
1
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(+.f64 (neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
1
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(+.f64 (neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
1
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(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
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(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
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(/.f64 (.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a)))) 2) 2)
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eval82.0ms (4.6%)

Compiler: Compiled 18111 to 3061 computations (83.1% saved)

prune48.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	287	0	287
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	287	3	290

Error

0.6b

Counts

290 → 3

Alt Table

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Status

Error

Program

✓

11.0b

(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))

✓

11.0b

(sqrt.f64 (fabs.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))

✓

1.0b

(sqrt.f64 (fabs.f64 1))

Compiler

Compiled 61 to 25 computations (59% saved)

regimes19.0ms (1%)

Accuracy

Total -10.4b remaining (-1083.2%)

Threshold costs -10.4b (-1083.2%)

Counts

3 → 1

Calls

Call 1

Inputs

(sqrt.f64 (fabs.f64 1))

(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))

(sqrt.f64 (fabs.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) (*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))))

Outputs
(sqrt.f64 (fabs.f64 1))

Calls

7 calls:

3.0ms	a
3.0ms	b
3.0ms	(*.f64 a a)
3.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Results

Error	Segments	Branch
1.0b	1	`a`
1.0b	1	`b`
1.0b	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
1.0b	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
1.0b	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
1.0b	1	`(*.f64 a a)`
1.0b	1	`(*.f64 b b)`

Compiler

Compiled 115 to 48 computations (58.3% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 1))

Outputs
(sqrt.f64 (fabs.f64 1))
1

Compiler

Compiled 3 to 3 computations (0% saved)

soundness0.0ms (0%)

end10.0ms (0.6%)

Compiler: Compiled 3 to 3 computations (0% saved)

Details

analyze15.0ms (0.8%)

sample988.0ms (55.1%)

preprocess5.0ms (0.3%)

simplify12.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.6%)

series5.0ms (0.3%)

rewrite134.0ms (7.5%)

simplify124.0ms (6.9%)

eval8.0ms (0.4%)

prune8.0ms (0.4%)

localize4.0ms (0.2%)

localize24.0ms (1.4%)

series4.0ms (0.2%)

rewrite95.0ms (5.3%)

simplify194.0ms (10.8%)

eval82.0ms (4.6%)

prune48.0ms (2.7%)

regimes19.0ms (1%)

simplify1.0ms (0.1%)

soundness0.0ms (0%)

end10.0ms (0.6%)

Profiling